
%%%%
%             OurATOMacros
%\magnification = 2200 %\%%     Do  \magnification outside!!!!!

\rightskip=-0.1cm
\nopagenumbers
\def\noblackboxes{\overfullrule = 0pt}

\input amssym            % small letters for UNIX,  not: AMSsym.def

%\input epsf.def % \input epsf  %for UNIX
\input epsf    % \input epsf.def for MAC f"ur BILDER!!

\def\lf{\ \hfil\break}       % Neue Zeile ohne Einr"ucken, 'linefeed'
\def\Lf{\vskip0.8mm\noindent} 
\def\LF{\medskip\noindent}   % Neue Zeile mit breiterem Zwischenraum
\def\Ph#1{\phantom
          {\vrule width #1 true cm height 0.125 true cm depth 0 pt}}
%% horizontaler Leerraum in cm
\def\cl{\centerline}
\def\ni{\noindent}
\def\ne{=\!\hskip-8pt/\ }      % \ne does not print properly

\def\floor{{\rm floor}\,}
\def\ceil{{\rm ceil}\,}
\def\const{{\rm const}}      % F\"ur Benutzung in Mathe-Mode
\def\Const{{\rm Const}}
\def\span{{\rm span}}
\def\spur{{\rm spur\,}}
\def\rang{{\rm rang}}
\def\hesse{{\rm hesse}}
\def\Hesse{{\rm Hesse}}
\def\sign{{\rm sign\,}}
\def\Abb{{\rm Abb}}
\def\id{{\rm id}}
\def\Hom{{\rm Hom}}
\def\End{{\rm End}}
\def\Sym{{\rm Sym}}
\def\Skew{{\rm Skew}}
\def\Bil{{\rm Bil}}
\def\Re{{\rm Re\;}}
\def\Im{{\rm Im\;}}
\def\Abst{{\rm Abst}}
\def\mod{{\rm \;mod\;}}
\def\grad{{\rm grad\,}}
\def\Gp{{\rm Graph\,}}
\def\Log{{\rm Log\;}}
\def\sag{\hbox{s\"ag}\,}    % hbox wg Umlaut
\def\Dot{\dot{\phantom{i}}\!}
\def\R90{{\rm Rot}(90^\circ)}
\def\La{\hbox{L\"ange}\,}
\def\Dd#1{{\partial \over \partial #1}}
\def\ddd#1{{d \over d#1}}
\def\DDD#1{{D \over d#1}}

\def\Langle{\langle\langle}
\def\Rangle{\rangle\rangle}

\def\BR{\Bbb R}             % Besondere Buchstaben
\def\BC{\Bbb C}
\def\BN{\Bbb N}
\def\BH{\Bbb H}
\def\BQ{\Bbb Q}
\def\BS{\Bbb S}
\def\BV{\Bbb V}
\def\BZ{\Bbb Z}
\def\Tilde{$_{\hbox{\cmrXX \~{}}}$}
\def\ep{\epsilon}
\def\epd{$\epsilon$-$\delta$}
\def\SS{\hbox{\eu S}}
\def\ST{\hbox{\eu T }}
\def\SRS{\hbox{\eu RS}}
\def\e{\hbox{{\bf e}}}
\def\i{\hbox{{\bf i}}}

\def\quot#1#2{{#1 \over #2}}
\def\kgt{\buildrel{k}\over >}       % Relationen mit Verzierung
\def\klt{\buildrel{k}\over <}

\font\sc=cmcsc10 scaled \magstep1   %% or: at 10 pt
\font\eu=eusb10 %at 10 pt
\font\small=cmr8 at 8 pt
\font\verysmall=cmr8 at 6 pt
\font\cmrX=cmbx10 scaled \magstep 1 %% 12 point CM
\font\cmrXX=cmbx12 scaled \magstep 1 %%

\define \Title#1.
 {   \centerline{\bf #1
                           {\footnote"*"{ \verysmall  This file is from the 3D-XplorMath project.  
                             Please see: \hfill\break \phantom{http://} http://3D-XplorMath.org/   }  }
                    }  \vskip 0.25 true in
 }




\def\cl{\centerline}
\def\clb#1{{\centerline{#1}}\break\noindent}
\def\ni{\noindent}

\newcount\secno \secno=0
\def\section#1{
            \advance\secno by 1 
            \par
            \centerline{ \the\secno. #1}
            \vskip 0.1 true cm}


\def\ff{f\!f}

\hsize 7 true in
\vsize 9.5 true in
\hoffset = -0.20 true in
\voffset -0.25 true in
\parskip=3pt




